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Finding the Fourth Proportional to 6,523.89, 9,785.72 and 2,628.20

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Solution

The fourth proportional to 6,523.89, 9,785.72 and 2,628.20 is: 3,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.89 : 9,785.72 = 2,628.20 : x
  2. Step 2: Convert to fraction form
    6,523.89/9,785.72 = 2,628.20/x
  3. Step 3: Cross multiply
    6,523.89x = 9,785.72 × 2,628.20
  4. Step 4: Simplify right side
    6,523.89x = 25,718,767.23
  5. Step 5: Solve for x
    x = 25,718,767.23/6,523.89
  6. Step 6: Final answer
    x = 3,942.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.